SOLUTION: Without consultation, each of four organizations announces a one-day convention to be held during June. Find the probability that at least two organizations specify the same day fo
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Question 421771: Without consultation, each of four organizations announces a one-day convention to be held during June. Find the probability that at least two organizations specify the same day for their convention.
Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!
no. of ways by an organisation can held convention =30
no. of ways for 4 organisation = 30 * 30 *30 *30 = (30)^4
no. of ways when all have different days = 30 * 29 * 28 *27 = 657720
probability that all have different day convention i.e P(A)= 657720/(30)^4
probability that at least two have same day convention i.e P'(A)
= 1- P(A)
= 1 - 657720/(30)^4
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